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Finding the Fourth Proportional to 397.95, 549.20 and 242.70

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Solution

The fourth proportional to 397.95, 549.20 and 242.70 is: 334.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.95 : 549.20 = 242.70 : x
  2. Step 2: Convert to fraction form
    397.95/549.20 = 242.70/x
  3. Step 3: Cross multiply
    397.95x = 549.20 × 242.70
  4. Step 4: Simplify right side
    397.95x = 133,289.63
  5. Step 5: Solve for x
    x = 133,289.63/397.95
  6. Step 6: Final answer
    x = 334.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.